1020212200900 has 36 divisors (see below), whose sum is σ = 2235779908740. Its totient is φ = 404044432000.

The previous prime is 1020212200883. The next prime is 1020212200901. The reversal of 1020212200900 is 90022120201.

It can be written as a sum of positive squares in 6 ways, for example, as 1291539844 + 1018920661056 = 35938^2 + 1009416^2 .

It is not an unprimeable number, because it can be changed into a prime (1020212200901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50495455 + ... + 50515654.

It is an arithmetic number, because the mean of its divisors is an integer number (62104997465).

Almost surely, 2^{1020212200900} is an apocalyptic number.

1020212200900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020212200900 is an abundant number, since it is smaller than the sum of its proper divisors (1215567707840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1020212200900 is a wasteful number, since it uses less digits than its factorization.

1020212200900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101011224 (or 101011217 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The spelling of 1020212200900 in words is "one trillion, twenty billion, two hundred twelve million, two hundred thousand, nine hundred".